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								<h2 id="t_7531b4380100p0p9" class="titName SG_txta">元胞自动机（森林火灾模型）的Matlab代码</h2>
			
					<span class="time SG_txtc">(2011-03-08 21:03:30)</span><div class="turnBoxzz"><a href="javascript:;" class="SG_aBtn SG_aBtn_ico SG_turn"  action-type="reblog" action-data="{srcBlog:1, blogId:'7531b4380100p0p9'}"><cite><img class="SG_icon SG_icon111" src="http://simg.sinajs.cn/blog7style/images/common/sg_trans.gif" width="15" height="15" align="absmiddle">转载<em class="arrow">▼</em></cite></a></div>		</div>
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			<p>给大家做元胞自动机一点参考。</P>
<p>&nbsp;<wbr></P>
<p><font COLOR="#22B14C">% 元胞自动机：森林火灾模型<br />
% 规则：<br />
% (1)正在燃烧的树变成空格位；<br />
% (2)如果绿树格位的最近邻居中有一个树在燃烧，则它变成正在燃烧的树；<br />
% (3)在空格位，树以概率p生长；<br />
% (4)在最近的邻居中没有正在燃烧的树的情况下树在每一时步以概率f(闪<br />
%&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
电)变为正在燃烧的树。<br />
% 参考文献:<br />
%
祝玉学，赵学龙译，&lt;&lt;物理系统的元胞自动机模拟&gt;&gt;,
p23<br /></FONT>close <font COLOR="#6F3198">all</FONT>;clc;clear;<br />
figure;<br />
p=0.3;&nbsp;<wbr>&nbsp;<wbr> <font COLOR="#22B14C">%
概率p<br /></FONT>f=6e-5; <font COLOR="#22B14C">%
概率f<br /></FONT>axes;rand(<font COLOR="#6F3198">'state'</FONT>,0);<br />
set(gcf,<font COLOR="#6F3198">'DoubleBuffer'</FONT>,<font COLOR="#6F3198">'on'</FONT>);<br />
<font COLOR="#22B14C">%
S=round((rand(300)/2+0.5)*2);<br /></FONT>S=round(rand(300)*2);<br />

Sk=zeros(302);<br />
Sk(2:301,2:301)=S;<br />
<font COLOR="#22B14C">% 红色表示正在燃烧(S中等于2的位置)<br />
% 绿色表示绿树(S中等于1的位置)<br />
% 黑色表示空格位(S中等于0的位置)<br /></FONT>C=zeros(302,302,3);<br />
R=zeros(300);<br />
G=zeros(300);<br />
R(S==2)=1;<br />
G(S==1)=1;<br />
C(2:301,2:301,1)=R;<br />
C(2:301,2:301,2)=G;<br />
Ci=imshow(C);ti=0;<br />
tp=title([<font COLOR="#6F3198">'T = '</FONT>,num2str(ti)]);<br />
<font COLOR="#2F3699">while</FONT> 1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
ti=ti+1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr> St=Sk;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr> St(Sk==2)=0;
<font COLOR="#22B14C">% for rule
(1)<br /></FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Su=zeros(302);Sf=Sk;Sf(Sf&lt;1.5)=0;Sf=Sf/2;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Su(2:301,2:301)=Sf(1:300,1:300)+Sf(1:300,2:301)+Sf(1:300,3:302)+<font COLOR="#2F3699">...<br />
</FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Sf(2:301,1:300)+Sf(2:301,3:302)+Sf(3:302,1:300)+<font COLOR="#2F3699">...<br /></FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Sf(3:302,2:301)+Sf(3:302,3:302);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
St(Sf&gt;0.5)=2; <font COLOR="#22B14C">% for rule
(2)<br /></FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Se=Sk(2:301,2:301);Se(Se&lt;0.5)=4;Se(Se&lt;3)=0;Se(Se&gt;3)=1;<br />

&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
St(2:301,2:301)=St(2:301,2:301)+Se.*(rand(300)&lt;p);
%for rule (3)<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Ss=zeros(302);Ss(Sk==1)=1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Ss(2:301,2:301)=Ss(1:300,1:300)+Ss(1:300,2:301)+Ss(1:300,3:302)+...<br />

&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Ss(2:301,1:300)+Ss(2:301,3:302)+Ss(3:302,1:300)+...<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Ss(3:302,2:301)+Ss(3:302,3:302);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Ss(Ss&lt;7.5)=0;Ss(Ss&gt;7.5)=1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr> d=find(Ss==1
&amp; Sk==1);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr> <font COLOR="#2F3699">for</FONT> k=1:length(d);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
r=rand;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
St(d(k))=round(2*(r&lt;=f)+(r&gt;f));<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr> <font COLOR="#2F3699">end</FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
<font COLOR="#22B14C">% for rule
(4)<br /></FONT>&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
Sk=St;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
R=zeros(302);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
G=zeros(302);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
R(Sk==2)=1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
G(Sk==1)=1;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
C(:,:,1)=R;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
C(:,:,2)=G;<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
set(Ci,'CData',C);<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
set(tp,<font COLOR="#6F3198">'string'</FONT>,[<font COLOR="#6F3198">'T = '</FONT>,num2str(ti)])<br />
&nbsp;<wbr>&nbsp;<wbr>&nbsp;<wbr>
pause(0.2);<br />
<font COLOR="#2F3699">end<br /></FONT></P>							
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